Abstract
On the geometrical model determined by the second order prolongation of a Riemannian space, we introduce for the first time the (α, β,η) — Sasaki lift. We define almost 2 — π structures on the bundle of accelerations and provide conditions for the mentioned structures to be normal. For a distinguished gauge connection, compatible with a μ almost 2— π structure, we write the generalized Einstein — Yang Mills equations and, in particular, we get the equations of the gravitational field for the geometrical model introduced in the paper.
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Sandovici, A. (2003). Implications of Homogeneity in Miron’s Sense in Gauge Theories of Second Order. In: Anastasiei, M., Antonelli, P.L. (eds) Finsler and Lagrange Geometries. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0405-2_31
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DOI: https://doi.org/10.1007/978-94-017-0405-2_31
Publisher Name: Springer, Dordrecht
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